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Finding the Third Proportional to 426,368.72 and 638,896.13

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Solution

The third proportional to 426,368.72 and 638,896.13 is: 957,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,368.72 : 638,896.13 = 638,896.13 : x
  2. Step 2: Convert to fraction form
    426,368.72/638,896.13 = 638,896.13/x
  3. Step 3: Cross multiply
    426,368.72x = 638,896.13 × 638,896.13
  4. Step 4: Simplify right side
    426,368.72x = 408,188,258,540.02
  5. Step 5: Solve for x
    x = 408,188,258,540.02/426,368.72
  6. Step 6: Final answer
    x = 957,359.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.